All categories

2 years ago

Point B is in the interior of ∠AOC, m∠AOC = 108°, m∠AOB = 3m∠BOC. Find m∠AOB.

2 answers:

6 0

If point is the interior of <AOC ,
then m<AOB + m<BOC = m< AOC ( angle addition postulate ) eq 1
(3m<BOC ) + m <BOC = m <AOC { m<AOB = 3m<BOC)
4m <BOC = 108
m<BOC = 27

m<AOB + m <BOC = m < AOC
m<AOB = 108 - 27
m <AOB = 81

Anna007 [38]2 years ago

5 0

Answer:

The measure of point B is 36 degrees

Step-by-step explanation:

Since point B is in the interior of the angle AOC, we take the measure of AOC and divide it by 3. You should get 36.

Formula: 3x=108

x=36

You might be interested in

Celeste can spend no more than $30 to buy quinoa and rice. She will pay $5 per pound for quinoa and $2 per pound for rice. Which

Furkat [3]

Can you send pic of graph

Step-by-step explanation:

Pls

5 0

2 years ago

Read 2 more answers

A patient needs 0.024g of a sulfa drug. There are 8 mg tablets in stock. How many tablets should be given?

Varvara68 [4.7K]

3 tablets. there are 1000 mg in a g so youd need 24 mg and 8x3=24

5 0

2 years ago

Read 2 more answers

A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. the polygon is

nasty-shy [4]

Answer: D. if a is greater than 1, the image of the polygon is smaller than the polygon

Step-by-step explanation: MARK ME BRAINLIEST!!!!

5 0

2 years ago

Identify two tables which represent quadratic relationships

lord [1]

Answer:

Tables 3 and 5

Step-by-step explanation:

if you know that quadratic equations from curves, then, check out the number patterns on 3 and 5, then, compare them with the others, you'll see

3 0

2 years ago

Read 2 more answers

Jinghua hiked 4 1/2 miles through the woods in 2 1/4 hours. She hiked the return trip at the same average rate but by a differen

Anna007 [38]

Answer:

5 miles.

Step-by-step explanation:

Consider the question: Jinghua hiked 4 1/2 miles through the woods in 2 1/4 hours. She hiked the return trip at the same average rate but by a different route taking 2 1/2 hours. How many miles did Jinghua hike on the return trip ?

First of all, we will find Jinghua's speed using given information as:

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Convert mixed fractions into improper fractions:

$4\frac{1}{2}\Rightarrow \frac{9}{2}$

$2\frac{1}{4}\Rightarrow \frac{9}{4}$

$\text{Jinghua's speed}=\frac{\frac{9}{2}\text{ Miles}}{\frac{9}{4}\text{ Hours}}$

Using property $\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}$ :

$\text{Jinghua's speed}=\frac{9*4\text{ Miles}}{9*2\text{ Hours}}$

$\text{Jinghua's speed}=\frac{2\text{ Miles}}{\text{ Hour}}$

We know that distance is equal to the product of speed and time.

$\text{Distance}=\text{Speed}\times\text{Time}$

Since we have been given that Jingua hiked the return trip at the same average rate, so distance covered by her on return trip would be speed (2 miles her hour) times given time (2 1/2 hours).

$\text{Distance covered by Jingua on return trip}=\frac{2\text{ Miles}}{\text{ Hour}}\times 2\frac{1}{2}\text{ Hours}$

$\text{Distance covered by Jingua on return trip}=2\text{ Miles}\times \frac{5}{2}$

$\text{Distance covered by Jingua on return trip}=5\text{ Miles}$

Therefore, Jingua hiked 5 miles on her return trip.

8 0

2 years ago